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104355225 = 32521335677
BaseRepresentation
bin1100011100001…
…01010110011001
321021100210110100
412032011112121
5203203331400
614204410013
72405001432
oct616052631
9237323410
10104355225
11539a6697
122ab46909
1318809c70
14dc06489
159265100
hex6385599

104355225 has 36 divisors (see below), whose sum is σ = 201295276. Its totient is φ = 51373440.

The previous prime is 104355221. The next prime is 104355257. The reversal of 104355225 is 522553401.

It is a happy number.

104355225 is a `hidden beast` number, since 1 + 0 + 435 + 5 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5631129 + 98724096 = 2373^2 + 9936^2 .

It is not a de Polignac number, because 104355225 - 22 = 104355221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104355221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14914 + ... + 20763.

Almost surely, 2104355225 is an apocalyptic number.

104355225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104355225 is a deficient number, since it is larger than the sum of its proper divisors (96940051).

104355225 is a wasteful number, since it uses less digits than its factorization.

104355225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35706 (or 35698 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 104355225 is about 10215.4405191357. The cubic root of 104355225 is about 470.8017476049.

The spelling of 104355225 in words is "one hundred four million, three hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 35677 107031 178385 321093 463801 535155 891925 1391403 1605465 2319005 2675775 4174209 6957015 8027325 11595025 20871045 34785075 104355225